希腊著名学者梅内克缪斯(公元前4世纪)企图解决当时的著名难题“倍立方问题”(即用直尺和圆规把立方体体积扩大一倍)。他把直角三角形abc的直角a的平分线ao作为轴。旋转三角形abc一周,得到曲面abece忆,如图1。用垂直于ac的平面去截此曲面,可得到曲线ede忆,梅内克缪斯称之为“直角圆锥曲线”。他想以此在理论上解决“倍立方问题”。 The famous Greek scholar Menek Muse (4th century BC) attempted to solve the then famous puzzle “doubling cube problem” (that is, doubling the cubic volume with rulers and compasses). He takes the bisector ao of the right angle a of the right-angled triangle abc as the axis. Rotate the triangle abc a week to get abece surface, as shown in Figure 1. Cut the surface perpendicular to the plane of ac to get the curve eme, which Menekus calls “right-angle conic”. He wanted to theoretically solve the “doubling cube problem.”